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c. Explain what is wrong with the following statement: ∫ ?(5?)?? = 5 ∫ ?(?)?? d....

c. Explain what is wrong with the following statement: ∫ ?(5?)?? = 5 ∫ ?(?)??

d. True or False (Justify your answer for full credit) : If f and g are continuous, positive functions and ?(?) ≥ ?(?), ? ≤ ? ≤ ?, then ∫ ?(?)?? ≥ ∫ ?(?)?? ? ? ? ? . (A picture might help)

e. Consider ∫ ??(? 2 )??. Suppose ? = ? 2 . Rewrite the integral in terms of u.

f. Consider ∫ ?(√?) 2√? ??. Make a choice of u and rewrite the integral in terms of u.

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